Multi-slide-mode control for flying-around of rendezvous and docking

The control for flying-around of rendezvous and docking was researched based on the concept of Multi-Sliding-Mode (MSM) control. The design for switching function of MSM was introduced, the existence condition for sliding mode was given and the stability of the control system was proved. For decreasing the couplings between the system variables, time sharing control was used, the design for control system was simplified. The control system was simulated and the results show that the system could be transferred from initial state to final state along the expected flying-around trajectory and has good adaptability for different initial states.